Which expression is equivalent to (5-2)(5-1)

Answer:

Step-by-step explanation:

The quotient : 3x^2 — 17x + 85

The remainder = — 433

Step-by-step explanation:

3x^3-2x^2-8)/(x+5)

The above can be solved by following the illustration in the attached file.

Answer:

False. Functions can be compared even if they are not represented in the same form. For example, you can compare the rate of change of a function represented by a graph with the rate of change of a function represented by a table of values, as long as you have a way to compare the two.

True. Any function can be represented in a variety of different forms, including as a graph, a table of values, or an equation.

False. To compare the rate of change of a function represented in a graph with the rate of change of a function represented as a pair of points, you need to find the slope of the line formed by the two points, not the graph.

True. The y-intercept of a function represented by an equation in slope-intercept form can be compared to the y-intercept of a function represented by a graph. The y-intercept of a function is the point where the function crosses the y-axis, and it can be identified in both a graph and an equation in slope-intercept form.

The value of WX is 3 units.

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

For example if the ages of 10 set of students are 12,14,10,18,9,11,10,17,18,20. The range of their ages is the highest age - the lowest age = 20- 9 = 11.

A number line is a horizontal line that has equally spread number increments. In the number line the highest value is 1 and the lowest value is -2.

From range = highest value- lowest value

range = WX

therefore WX = 1-(-2)

= 1+2 = 3

Therefore the range value between W and X is 3 units.

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The sentence is completed as follows

The height of the parallelogram is equal to the radius of the circle. The base of the parallelogram is equal to half the circumference of the circle. Therefore, the area of the circle (πr2) is equal to the area pf the parallelogram and the circumference of the circle is equal to 2 times pi times the radius

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal).

For a parallelogram formed by joining the 8 triangles which are segments of a circle.

In this case the sides of the triangles are the radius of the circle. The height of the triangle is also a radius since it is also a distance from the center to the circumference.

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Answer:

Below

Step-by-step explanation:

Line   y = 1/2 x -7   is of the line-equation form   y = mx = b    where m = slope ....this slope is   1/2     a perpindicular slope is  - 1/m  ( ya just gotta remember that ) = - 1/ (1/2) = - 2

for the new line , point-slope form   through the point (-6,5) would be

    y - 5  = -2 ( x - - 6)     simplifies to

    y = - 2x -7  

Answer:

B. Drive 180 miles from Raleigh to Boone going 60 miles per hour

Answer:

B. 64

If write sequence in order

3 6 12 24 48 96 196

it's very clear each sequence got multiplied by 2 to obtain other element

Answer:

This equation has no solution.

Step-by-step explanation:

To find out how many solutions an equation has, you can just solve it. If you get an answer, that is one solution. Let's look at the equation.

3x+15=6x+2-3x

Combine like terms.

3x + 15 = 3x + 2

Subtract 3x from both sides.

15 = 2

Ruh-roh! 15 = 2 is a false statement. Since the variable fell out of the equation and what was left is false, there are no solutions.

NO number can be substituted into the equation that will make it true. There are no solutions.

Answer:

0.375

Step-by-step explanation:

convert percent to decimal:

[tex]\frac{0.5}{100}=0.005[/tex]

multiply by 75

[tex](0.005)(75)=0.375[/tex]

Hope this helps

Answer:

a) 14 , b) -13 , c) 9

Step-by-step explanation:

use a calculator

Answer:

a) 14

b) -13

c) 9

Step-by-step explanation:

c) y = 3x +2

29 = 3x + 2

Subtract 2 from both sides

27 = 3x

x = 9

Answer:

non linear

Step-by-step explanation:

it is a quadratic equation, with its derivative proportional to x but not a constant.

so it is non linear

4. Train arrived late once on 7th day according to the simulation.

5. The probability that the train will arrive late on 3 or more of 20 days is 0.30.

6. There is no convincing evidence that New Jersey Transit's claim is false.

What is a simulation?

Simulation is the imitation of chance behavior, based on a model that accurately reflects the situation.

The dot at 7 represents that on the 7th day the train arrived late once.

Assuming the probability that each train is late is 0. 1, the estimate of the probability that that train is late on 3 or more of 20 days is -

30/100 = 0.30.

Since, the actual result is that train is late 17 times on 3 days so the result will be 0.17. But since these are just simulations and real-life incidents there is no proper evidence.

Therefore, the train company's claim is not entirely false.

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Answer:

infinite number of solutions

Step-by-step explanation:

[tex]\frac{4}{5}[/tex] (x + 9) - [tex]\frac{1}{5}[/tex] x = [tex]\frac{3}{5}[/tex] (x + 12)

multiply through by 5 to clear the fractions

4(x + 9) - x = 3(x + 12) ← distribute parenthesis on both sides

4x + 36 - x = 3x + 36

3x + 36 = 3x + 36

since both sides are the same then any value of x will make the equation true.

Thus there are an infinite number of solutions

Answer:

9.5 x 10^-3

Step-by-step explanation:

Move the decimal place until the leading digit is between 1 and 10, about three places to the right.

The exponent we use to notate our movement is negative, as we moved it to the right, so since we moved it three places to the right, it is -3.

Write it in the notation form m x 10^n, where m is that number between 1 and 10, and n is the exponent.

Your answer is 9.5 x 10^-3

Answer:

500 miles

Step-by-step explanation:

We want to find the distance traveled

50 miles one way

We need to multiply by 2 to find the distance traveled there and back

50 * 2 = 100

She does this for 5 days

5 * 100 = 500

She travels 500 miles to work and back in 5 days

Distance travelled. both way

50×2=100

After 5 days,

[tex] \longmapsto \: 100 \times 5 = 500miles[/tex]

Answer: D. 6 3*/2x 2*

Step-by-step explanation:

All of the answer choices you provided involve radicals, which are numbers or expressions that include a square root (or other root) symbol. In order to determine which answer choice is a like radical to the given radical (6 3*/2x), we must compare the coefficients, the indices, and the radicands of each radical.

The coefficient of a radical is the number that appears before the radical symbol, while the index is the number written as a small superscript to the right of the radical symbol. The radicand is the number or expression that is inside the radical symbol.

For the given radical (6 3*/2x), the coefficient is 6, the index is 3, and the radicand is 2x.

With this information in mind, we can compare the answer choices as follows:

A. 6 3*/x - This radical has the same coefficient and index as the given radical, but the radicand is different (it is x instead of 2x). Therefore, this is not a like radical to the given radical.

B. 6 4*/2x - This radical has the same coefficient and radicand as the given radical, but the index is different (it is 4 instead of 3). Therefore, this is not a like radical to the given radical.

C. -5 3*/2x - This radical has the same index and radicand as the given radical, but the coefficient is different (-5 instead of 6). Therefore, this is not a like radical to the given radical.

D. 6 3*/2x 2* - This radical has the same coefficient and index as the given radical, and the radicand is 2x, which is the same as the given radical. However, there is an additional exponent of 2 after the radical symbol, which is not present in the given radical. Therefore, this is not a like radical to the given radical.

Therefore, the correct answer is:

D. 6 3*/2x 2*

Answer:

11

Step-by-step explanation:

Given x value is 5.

Substitute the value of x   in the given equation.

5^2  is 5*5 = 25

Subtract 3 from 25 --->  25 - 3 = 22

Divide 22 by 2 ---> 22/2 = 11

Hence, the answer is 11.

The number of times you would write the digit of 4 from 30 to 65, would be 14 times.

From the range of 30 to 39, the digits with 4 are:

34

From the range of 40 to 49, the digits with 4 are:
40, 41, 42, 43, 44, 45, 46, 47, 48, 49

From the range of 50 to 59, the 4s are:

54

From 60 to 65 the 4s are:

64

The number of times you write 4 is therefore the sum of the number of times you see 4 above, and this is: 14 times

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The total number of days from 15 February 2007 to 10 June ​2007 will be;

⇒ 115

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The days to count from  15 February 2007 to 10 June ​2007.

Now,

Since, 2007 is not a leap year.

Hence, Number of days in Feb. 2007 = 28 - 15

                                                           = 13

And, Number of days in march 2007 = 31 days

Number of days in April 2007 = 30 days

Number of days in May 2007 = 31 days

Number of days in 10 June 2007 = 10 days

Thus, Total days from 15 February 2007 to 10 June ​2007 is,

⇒ 13 + 31 + 30 + 31 + 10

⇒ 15 days

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The simplest form of the expression is x^2/2. Option D

When we want to simplify, we are trying to write the expression in a manner that we can not be able to break it further. Thus the simplest form of the expression implies that there is now way that we can be able to break the expression into something that is quite smaller.

We can see that we have the expression that has been given as;

(8x^-6)^1/3

We have to apply the laws of indices step by step and we have;

2x^-2

2/x^2

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The equation of line that passes through (5,-7) and is perpendicular to  y = 5/2 x - 6 is y = (-2/5)x - 5.

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equation of the original line

y = (5/2)x - 6

Using the slope intercept, slope m is 5/2

Now, the equation of a perpendicular line to y = (5/2)x - 6 must have a slope that is the negative reciprocal of the original slope.

Slope of perpendicular line = -1 / ( 5/2 )

Slope of perpendicular line = -2/5

Plug the slope m = -2/5 and point (5,-7) into point-slope formula and simplify.

( y - y₁ ) = m( x - x₁ )

( y - (-7) ) = -2/5( x - 5 )

( y + 7 ) = -2/5( x - 5 )

y + 7 = (-2/5)x - (-2/5)(5)

y + 7 = (-2/5)x + (2)

y + 7 = (-2/5)x + 2

y = (-2/5)x + 2 - 7

y = (-2/5)x - 5

Therefore, the equation of the perpendicular line is y = (-2/5)x - 5.

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Answer:

c. [tex]\frac{15}{13}[/tex]

Step-by-step explanation:

[tex](g \circ f)(4)=g(f(4)) \\ \\ f(4)=4^2-3=13 \\ \\ g(13)=\frac{13+2}{13}=\frac{15}{13}[/tex]

To use the Factor Theorem to determine whether x + 1 is a factor of P(x) = -x^4 - x^3 + 2x + 4, we need to evaluate P at x = -1. If the result is 0, then x + 1 is a factor of P(x). If the result is non-zero, then x + 1 is not a factor of P(x).

Substituting x = -1 into the function P(x) gives us:

P(-1) = (-1)^4 + (-1)^3 + 2(-1) + 4

= 1 + -1 + -2 + 4

= 2

Since P(-1) is non-zero, x + 1 is not a factor of P(x).

Answer:

A

Step-by-step explanation:

The expression 2√2 is equivalent to 2.83.

A radical, or root, is the mathematical opposite of an exponent, in the same sense that addition is the opposite of subtraction. Mathematically -

[tex]$\underbrace{\sqrt[n]{x} \times \sqrt[n]{x} \times \dots}_{n \text{ times}} = x[/tex]

Given is the expression as -

2√2

We can write -

2√2 = 2[tex]$(2)^{\frac{1}{2}}[/tex]

2√2 = 2 x 1.414

2√2 = 2.83

Therefore, the expression 2√2 is equivalent to 2.83.

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Answer:

x=10922

Step-by-step explanation:

Answer:

Multiplication

Step-by-step explanation:

Multiply both sides of the Slope equation by the denominator (bottom number) and you get the Point-Slope Equation.

see image.

The steps to find acceleration a are:

Step 1: d = vt + (1/2)at²

Step 2: d - vt = (1/2)at²

Step 3: 2(d - vt) = at²

Step 4: a = 2(d - vt) / t²

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

d = vt + (1/2)at²

We will find a.

d - vt = (1/2)at²

2(d - vt) = at²

a = 2(d - vt) / t²

Thus,

Step 1: d = vt + (1/2)at²

Step 2: d - vt = (1/2)at²

Step 3: 2(d - vt) = at²

Step 4: a = 2(d - vt) / t²

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Brandi can buy 2 albums and 5 singles.

Brandi wants to spend no more than $25 in total, and she wants to purchase at least 5 singles, which cost $1 each. That means the total cost of the singles must be at least 5 * $1 = $<<5*1=5>>5.

The remaining budget is $25 - $5 = $<<25-5=20>>20, which is the maximum amount that Brandi can spend on albums.

Since each album costs $10, Brandi can purchase a maximum of $20 / $10 = <<20/10=2>>2 albums.

So, a possible combination of albums and singles that Brandi could purchase and stay within her guidelines is 2 albums and 5 singles.

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A possible combination of albums and singles that Brandi could purchase and stay within her guidelines is option c is correct- Brandi can buy 2 albums and 5 singles.

the solution is as follows:-

Brandi wants to spend no more than $25 in total, and she wants to purchase at least 5 singles, which cost $1 each. That means the total cost of the singles must be at least 5 * $1 = $<<5*1=5>>5.

The remaining budget is $25 - $5 = $<<25-5=20>>20, which is the maximum amount that Brandi can spend on albums.

Since each album costs $10, Brandi can purchase a maximum of $20 / $10 = <<20/10=2>>2 albums.

So, a possible combination of albums and singles that Brandi could purchase and stay within her guidelines is 2 albums and 5 singles.

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